Volume growth of submanifolds and the Cheeger Isoperimetric Constant

Details Volume growth of submanifolds and the Cheeger Isoperimetric Constant Volume growth of submanifolds and the Cheeger Isoperimetric Constant

2011-04-29

arxiv.org/abs/1104.5625v2

Mathematics

Differential Geometry

11 pages

Scientific paper

We obtain an estimate of the Cheeger isoperimetric constant in terms of the
volume growth for a properly immersed submanifold in a Riemannian manifold
which possesses at least one pole and sectional curvature bounded from above .

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